Soliton solutions for the elastic metric on spaces of curves

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• Peter Michor (Universität Wien)
• Thursday 14 December 2017, 09:00-10:00
• Seminar Room 1, Newton Institute.

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VMVW03 - Flows, mappings and shapes

Joint work with: Martin Bauer (Florida State University), Martins Bruveris (Brunel University London), Philipp Harms (University of Freiburg). Abstract: Some first order Sobolev metrics on spaces of curves admit soliton-like geodesics, i.e., geodesics whose momenta are sums of delta distributions. It turns out that these geodesics can be found within the submanifold of piecewise linear curves, which is totally geodesic for these metrics. Consequently, the geodesic equation reduces to a finite-dimensional ordinary differential equation for a dense set of initial conditions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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